A parameter was added for the unloading return stress, F e
SA , to approximate the unloading
path after large strain excursions. A parameter was also added to incorporate residual strain into
the hysteretic model, R STFact . It was found that the magnitude of residual strain for the behavior
shown in Figure 3a was approximately proportional to the cumulative dissipated energy with a
residual strain factor computed to be R STFact =0.00721 (%/MPa-m/m). The ability of the hysteretic
model to capture the cyclic response of SMA rod is demonstrated in Figure 4b using parameters,
E SMA =28,650 MPa, F s
AS =308 MPa, R s =0.033E SMA , d f
AS =0.0412 m/m, R m =0.30E SMA , F f
SA =221 MPa,
F e
SA =124 MPa, and R STFact =0.00721 %/MPa. The experimental response is plotted without the
initial R-phase shown in Figure 4b because it is assumed that this portion of response will already
be expended as the rod is pretensioned to an initial stress above the R-phase plateau. It is shown
that the model is capable of approximately simulating the unloading path and residual stresses
upon unloading.